
\begin{table}[!htbp] \centering 
  \caption{Table 1: Attrition and Balance Test} 
  \label{} 
\begin{tabular}{@{\extracolsep{5pt}} ccccccccccccccccccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
variable & mu\_w1 & sd\_w1 & N\_w1 & mu\_w2 & sd\_w2 & N\_w2 & attrition\_pvalue & mu\_ct & sd\_ct & N\_ct & mu\_c & sd\_c & N\_c & mu\_p & sd\_p & N\_p & mu\_t & sd\_t & N\_t & anova\_pvalue \\ 
\hline \\[-1.8ex] 
age & 37.584 & 11.460 & $2,077$ & 38.217 & 11.133 & $949$ & 0.281 & 42.830 & 12.780 & $88$ & 37.527 & 10.890 & $260$ & 37.933 & 11.277 & $164$ & 37.805 & 10.684 & $437$ & 0.920 \\ 
female & 0.495 & 0.500 & $2,077$ & 0.498 & 0.500 & $949$ & 0.619 & 0.375 & 0.487 & $88$ & 0.519 & 0.501 & $260$ & 0.476 & 0.501 & $164$ & 0.519 & 0.500 & $437$ & 0.602 \\ 
special\_municipality & 0.821 & 0.383 & $2,077$ & 0.821 & 0.384 & $949$ & 0.846 & 0.875 & 0.333 & $88$ & 0.827 & 0.379 & $260$ & 0.835 & 0.372 & $164$ & 0.801 & 0.400 & $437$ & 0.530 \\ 
edu & 4.614 & 1.032 & $2,077$ & 4.590 & 1.027 & $949$ & 0.154 & 4.920 & 0.937 & $88$ & 4.585 & 1.046 & $260$ & 4.598 & 1.078 & $164$ & 4.524 & 1.003 & $437$ & 0.642 \\ 
full\_time & 0.735 & 0.441 & $2,077$ & 0.736 & 0.441 & $949$ & 0.613 & 0.739 & 0.442 & $88$ & 0.700 & 0.459 & $260$ & 0.750 & 0.434 & $164$ & 0.751 & 0.433 & $437$ & 0.307 \\ 
married & 0.483 & 0.500 & $2,077$ & 0.484 & 0.500 & $949$ & 0.579 & 0.636 & 0.484 & $88$ & 0.458 & 0.499 & $260$ & 0.494 & 0.501 & $164$ & 0.465 & 0.499 & $437$ & 0.751 \\ 
income\_cat & 6.039 & 3.257 & $2,077$ & 6.022 & 3.150 & $949$ & 0.652 & 7.227 & 3.132 & $88$ & 5.831 & 3.166 & $260$ & 6.335 & 2.912 & $164$ & 5.776 & 3.175 & $437$ & 0.136 \\ 
pan\_blue & 0.306 & 0.461 & $2,077$ & 0.316 & 0.465 & $949$ & 0.492 & 0.557 & 0.500 & $88$ & 0.300 & 0.459 & $260$ & 0.287 & 0.454 & $164$ & 0.288 & 0.454 & $437$ & 0.937 \\ 
independent & 0.399 & 0.490 & $2,077$ & 0.390 & 0.488 & $949$ & 0.504 & 0.205 & 0.406 & $88$ & 0.400 & 0.491 & $260$ & 0.427 & 0.496 & $164$ & 0.407 & 0.492 & $437$ & 0.858 \\ 
pan\_green & 0.295 & 0.456 & $2,077$ & 0.294 & 0.456 & $949$ & 0.965 & 0.239 & 0.429 & $88$ & 0.300 & 0.459 & $260$ & 0.287 & 0.454 & $164$ & 0.304 & 0.461 & $437$ & 0.914 \\ 
president\_2016\_voted & 0.587 & 0.493 & $2,077$ & 0.599 & 0.490 & $949$ & 0.296 & 0.682 & 0.468 & $88$ & 0.531 & 0.500 & $260$ & 0.671 & 0.471 & $164$ & 0.595 & 0.491 & $437$ & 0.016 \\ 
president\_2012\_voted & 0.579 & 0.494 & $2,077$ & 0.591 & 0.492 & $949$ & 0.279 & 0.727 & 0.448 & $88$ & 0.538 & 0.499 & $260$ & 0.604 & 0.491 & $164$ & 0.590 & 0.492 & $437$ & 0.305 \\ 
father\_islander & 0.647 & 0.478 & $2,077$ & 0.653 & 0.476 & $949$ & 0.690 & 0.625 & 0.487 & $88$ & 0.669 & 0.471 & $260$ & 0.701 & 0.459 & $164$ & 0.632 & 0.483 & $437$ & 0.242 \\ 
taoism & 0.204 & 0.403 & $2,077$ & 0.209 & 0.407 & $949$ & 0.475 & 0.125 & 0.333 & $88$ & 0.223 & 0.417 & $260$ & 0.268 & 0.444 & $164$ & 0.195 & 0.396 & $437$ & 0.143 \\ 
nwpaper\_pref\_apple & 0.450 & 0.498 & $2,077$ & 0.446 & 0.497 & $949$ & 0.741 & 0.330 & 0.473 & $88$ & 0.458 & 0.499 & $260$ & 0.433 & 0.497 & $164$ & 0.467 & 0.499 & $437$ & 0.760 \\ 
sanlih\_show & 2.237 & 0.995 & $2,077$ & 2.224 & 0.993 & $949$ & 0.713 & 2.045 & 1.060 & $88$ & 2.335 & 1.002 & $260$ & 2.159 & 0.978 & $164$ & 2.220 & 0.976 & $437$ & 0.157 \\ 
control & 0.300 & 0.458 & $1,882$ & 0.302 & 0.459 & $861$ & 0.842 & NaN & NA & $0$ & 1.000 & 0.000 & $260$ & 0.000 & 0.000 & $164$ & 0.000 & 0.000 & $437$ & 0.000 \\ 
placebo & 0.200 & 0.400 & $1,882$ & 0.190 & 0.393 & $861$ & 0.327 & NaN & NA & $0$ & 0.000 & 0.000 & $260$ & 1.000 & 0.000 & $164$ & 0.000 & 0.000 & $437$ & 0.000 \\ 
treatment & 0.500 & 0.500 & $1,882$ & 0.508 & 0.500 & $861$ & 0.548 & NaN & NA & $0$ & 0.000 & 0.000 & $260$ & 0.000 & 0.000 & $164$ & 1.000 & 0.000 & $437$ & 0.000 \\ 
\hline \\[-1.8ex] 
\end{tabular} 
\end{table} 
